Implications of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>σ</mml:mi> </mml:math> -cut potential on antikaon condensates in neutron stars

We investigate the properties of neutron stars with antikaon condensation in the framework of the relativistic mean-field (RMF) model with a $\ensuremath{\sigma}$-cut potential. The well-known RMF models, TM1 and TM1e, are used to analyze the structure and composition of neutron stars. The antikaon condensation part of the equation of state (EoS) is constrained from the experimental data of ${K}^{\ensuremath{-}}$ atomic and kaon-nucleon scattering. The $\ensuremath{\sigma}$-cut potential, which is known to make the equation of state stiffer at high densities, is modulated by a free parameter ${f}_{s}$. Our present analysis suggests that one can obtain neutron-star configurations heavier than $2{M}_{\ensuremath{\bigodot}}$ with antikaon condensates in most cases for ${f}_{s}=0.6$. The antikaon phase transition is second order for ${f}_{s}=0.6$ for both TM1 and TM1e parameter sets. The calculated global properties of neutron stars with antikaon condensates, i.e., mass and radius, seem to be in reasonable agreement with other theoretical and observational data.